non payment and holdover tenant eviction, which one is faster?

[Nina Zou]

I've notied my tenant 4 months ago that their lease won't be renewed, the original lease termination date is 3/31/2023. They've been living under charity rent assistance in the past two years which will end in Feb. I expect they won't pay the Mar rent, and eventually have to evicte them.

My question is shall I serve 10 days notice on 3/5/2023 if they don't pay the rent, then 4/1/2023 serve 30 days notice to quit for the holdvoer tenant? will this comlicated the case? cos i will have two cases going on to evict them simultaneously.

Or shall i just wait until 4/1/2023 to evict them for being holdover tenant cos I heard that eviction will be processed faster. 

Any advice?